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Original Articles

Adjustive Liu-Type Estimators in Linear Regression Models

Pages 1162-1173 | Received 06 Nov 2009, Accepted 01 Apr 2010, Published online: 11 Jun 2010

References

  • Allen , D. M. ( 1971 ). Mean square error of prediction as a criterion for selection of variables . Technometrics 13 : 469 – 475 .
  • Allen , D. M. ( 1974 ). The relationship between variable selection and data augmentation and a method for prediction . Technometrics 16 : 125 – 127 .
  • Arslan , O. , Billor , N. ( 2000 ). Robust Liu-type estimator for regression based on an M-estimator . Journal of Applied Statistics 27 : 39 – 47 .
  • Druilhet , P. , Mom , A. ( 2008 ). Shrinkage structure in biased regression . Journal of Multivariate Analysis 99 : 232 – 244 .
  • Hoerl , A. E. , Kennard , R. W. (1970). Ridge regression: biased estimation for nonorthogonal problems. Technometrics 12:55–67.
  • Hubert , M. H. , Wijekoon , P. ( 2006 ). Improvement of the Liu-type estimator in linear regression model . Statical Papers 47 : 471 – 479 .
  • Kaçıranlar , S. Sakallığlu , S. Akdeniz , F. Styan , G. P. H. Werner , H. J. ( 1999 ). A new biased estimator in linear regression and a detailed analysis of the widely-analysed dataset on Portland cement . Sankhyā: The Indian Journal of Statistics (Series B) 61 : 443 – 459 .
  • Kaçıranlar , S. , Sakallığlu , S. ( 2001 ). Combining the Liu-type estimator and the principal component regression estimator . Communications in Statistics—Theory and Methods 30 : 2699 – 2705 .
  • Liu , K. J. ( 1993 ). A new class of biased estimate in linear regression . Communications in Statistics—Theory and Methods 22 ( 2 ): 393 – 402 .
  • Liu , K. J. ( 2003 ). Using Liu-type estimator to combat collinearity . Communications in Statistics—Theory and Methods 32 : 1009 – 1020 .
  • Montgomery , D. C. , Friedman , D. J. ( 1993 ). Prediction using regression models with multicollinear predictor variables . IIE Transactions 25 ( 3 ): 73 – 85 .
  • Myers. R. H. ( 2005 ). Classical and Modern Regression with Application. , 2nd ed. Beijing : Higher Education Press .
  • Özkale , M. R. , Kaçıranlar , S. ( 2007 ). A Prediction-oriented criterion for choosing the biasing parameter in Liu estimation . Communications in Statistics—Theory and Methods 36 : 1889 – 1903 .
  • Sakallığlu , S. , Kaçıranlar , S. ( 2008 ). A new biased estimator based on ridge estimation . Statical Papers 49 : 669 – 689 .
  • Torigoe , N. , Ujiie , K. ( 2006 ). On the restricted Liu estimator in the Gauss–Markov model . Communications in Statistics—Theory and Methods 35 : 1713 – 1722 .
  • Woods , H. , Steinour , H. H. Starke , H. R. ( 1932 ). Effect of composition of Portland cement on heat evolved during hardening . Industrial and Engineering Chemistry 24 : 1207 – 1214 .
  • Yang , H. , Xu , J. W. ( 2009 ). An alternative stochastic restricted Liu estimator in linear regression . Statical Papers 50 : 639 – 647 .

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